Atkin-Lehner |
2- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
64288o |
Isogeny class |
Conductor |
64288 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
192192 |
Modular degree for the optimal curve |
Δ |
-5929720427008 = -1 · 29 · 710 · 41 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 0 -3 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-58424,-5456228] |
[a1,a2,a3,a4,a6] |
Generators |
[37030226797:1056761572602:41781923] |
Generators of the group modulo torsion |
j |
-152494664/41 |
j-invariant |
L |
2.860744276092 |
L(r)(E,1)/r! |
Ω |
0.15353737558196 |
Real period |
R |
18.632233781832 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64288e1 128576w1 64288l1 |
Quadratic twists by: -4 8 -7 |